Applications of different Types of Lorenz Transformations

The Lorentz transformation is well known. In this paper, we have presented various types of applications of different Lorenz Transformations according to the nature of movement of one inertial frame relative to the other inertial frame such as relativistic aberration, relativistic Doppler’s effect and reflection of light ray by a moving mirror. When one frame moves along X- axis with respect to the rest frame then we can find these applications for special Lorentz transformation. When the motion of the moving frame is not along X-axis relative to the rest frame but the motion is along any arbitrary direction then we can find these formulae for most general Lorentz transformation. We can generate these formulae for different types of most general Lorentz transformations using mixed number, quaternion and geometric product.